Dominance-Based Neighborhood Rough Sets and Its Attribute Reduction

In real-life applications, partial order may exist in the domain of attributes and different data types often coexist in an decision system. Dominance-based rough set approach has been used widely in multi-attribute and multi-criteria decision by using the dominating relation. Neighborhood rough set aims to deal with hybrid data types. But the preference relation in the context of neighborhood rough set has not been taken into consideration. In this paper, a novel rough set model, Dominance-based Neighborhood Rough Sets (DNRS), is proposed which aims to process a decision system with hybrid data types where the partial order between objects is taken into consideration. The properties of DNRS are studied. Attribute reduction under DNRS is investigated.